Quantitative Aptitude Quiz For IBPS Clerk Main
Q1. A train leaves station X at 5 a.m. and reaches station Y at 9 a.m. Another train leaves station Y at 7 a.m. and reaches station X at 10 : 30 a.m. At what time do the two trains cross each other?
Q2. The respective ratio of the speed of the boat in upstream to speed of the boat in downstream is 4: 9. What is the speed of the boat in still water if it covers 84 km downstream in 2 hours 20 minutes? (in km/h)
Q3. A steamer went downstream for 28 km and immediately returned. It took the steamer twice as long to make the return trip. If the speed of the river flow were twice as high, the trip downstream and back would take 672 minutes. Find the speed of the steamer in still water and the speed of the river flow.
Q4. A boat running in upstream takes 528 min to cover a certain distance, while it takes 240 min to cover the same distance running in downstream. What is the ratio of the speed of the boat in still water to speed of the water current?
Q5. Anita’s father was 38 years in age when she was born while her mother was 36 years old when her brother who is four years younger to her was born. What is the difference between the ages of her parents?
Mother’s age when Anita was born = 36 – 4 = 32 years
Difference = 38 – 32 = 6 years.
Directions (6 – 10): Study the following pie chart and bar graph carefully to answer the following questions.
The pie chart shows the percentage distribution of aspirants who have applied for various exams. The bar graph shows the vacancy in these exams.
Q6. Average of all aspirants who have applied for various given exam is approximately how many times the total no. of vacancies?
Q7. If Railways reduces two-fifth of its vacancies, then total vacancies will be reduced by how much percent?
Q8. What will be the difference between average number of aspirants per post in SSC and the average number of aspirant per post in IBPS?
Q9. If no. of vacancies of IBPS increased by 10% and for one final selection in all the given vacancies three aspirants would be rejected during interviews. Find no. of aspirant qualified for Interview for IBPS is approximately how many times the no of aspirant qualified for PSUs and KVS interviews both?
No. of posts/ vacancies in IBPS now = 9500 + 950 = 10450
∴ No. of aspirant qualifies for IBPS interview = 10450 × 4 = 41800
No. of aspirants qualifies for PSUs and KVS interviews = (2800 + 700) × 4 = 14000
Desired value = 41800/14000 ≈ 3 times
Q10. Out of all vacancies allocated, 15% of the selected aspirants didn’t join. Hence 8% of the IBPS and 10% of Railways vacancies remain unfilled. What will be the approximate value of ratio between total vacancies remain unfilled for IBPS and Railways together to Rest of the organizations vacancy which remain unfilled.?
Directions (11-15): What will come in place of question mark (?) in the following questions?
? = 297/33 = 9
Q13. 21.9% of 650 = ? + 23.12
? = 119.23
Q14. 6666 ÷ 66 ÷ 0.25 = ?
Q15.√(?) + 18 = √2704
? = 1156